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Finding the Fourth Proportional to 274,097.70, 411,096.24 and 124,301.97

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Solution

The fourth proportional to 274,097.70, 411,096.24 and 124,301.97 is: 186,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,097.70 : 411,096.24 = 124,301.97 : x
  2. Step 2: Convert to fraction form
    274,097.70/411,096.24 = 124,301.97/x
  3. Step 3: Cross multiply
    274,097.70x = 411,096.24 × 124,301.97
  4. Step 4: Simplify right side
    274,097.70x = 51,100,072,491.59
  5. Step 5: Solve for x
    x = 51,100,072,491.59/274,097.70
  6. Step 6: Final answer
    x = 186,430.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.